The number of tiny squares is 144. Prime factorisation of 144 is 2⁴ × 3². This is a perfect square since all exponents are even. So, the number of squares is 12 × 12 and √144 = 12. Class 8 Mathematics ...
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(i) 16² = 256 and 17² = 289 ⇒ 289 – 256 – 1 = 32 numbers. (ii) 99² = 9801 and 100² = 10000 ⇒ 10000 – 9801 – 1 = 198 numbers between them. Class 8 Mathematics Textbook Chapter ...
Prime factorise 9408: 2⁶ × 3 × 7 × 7. To make it a perfect square, we need another 3. Multiply by 3 → 9408 × 3 = 28224. √28224 = 168. So, the smallest multiplier is 3. Class 8 Mathematics ...
The least common multiple (LCM) of 4, 9 and 10 is 180. The smallest square divisible by 180 is 900, since 30² = 900. So, the required smallest square number divisible by 4, 9 and 10 is 900. Class 8 Mathematics ...
To find the side, take the square root of 441. Since 21 × 21 = 441, the side length of the square is 21 meters. So, the side is 21 m. Class 8 NCERT Ganita Prakash Chapter 1 A Square and ...